LAP Lambert Academic Publishing
Irreducible Cyclic Codes and Polyadic Codes
0
Rate this book
Key Metrics
- Anuradha Sharma
- LAP Lambert Academic Publishing
- Paperback
- 9783838396323
- 9 X 6 X 0.31 inches
- 0.45 pounds
- Mathematics > Algebra - General
- English
$0
List Price:
$0
Save:
$0 ($%)
Format:
Paperback
Shipping
$4
Ships from:
-
Estimated Arrival:
May 8 -May 10
Available Copies:
10+ Copies
Ready To Buy:
Add to Cart
Secure TransactionSold By:
Readara.com
Add to My Wishlist
Book Description
In this book, explicit expressions of all thegenerating idempotents of irreducible cyclic codes oflength p DEGREESn and 2p DEGREESn over GF(q) are obtained, where pis an oddprime, p does not divide (q DEGREESf-1)/p if n > 1 and f isthe multiplicative order of q modulo p. Also thegenerating idempotents of all theirreducible cyclic codes of length 2 DEGREESn over GF(q), where q is any odd prime power, are determined.It is also proved that the generating idempotents ofirreducible cyclic codes can be effectivelyevaluated, once they are known for irreducible cycliccodes of length prime power length. The weightdistributions of all the irreducible cyclic codes oflength 2 DEGREESn are also obtained directly from theirgenerating polynomials. The necessary and sufficientconditions for the existence of cyclic polyadic codesof prime powerlength and of arbitrary length are obtained. The results on the existence of polyadiccodes, obtained by us, will enable one to constructpolyadic codes of varying lengths and dimensions.Many interesting examples of good codes aris
Irreducible Cyclic Codes and Polyadic Codes
Videos
No Videos
Community reviews
Write a ReviewNo Community reviews